F-stable and F[alpha,beta]-stable integration/interpolation methods in the solution of retarded differential-difference equations

DOI10.1016/0771-050X(82)90052-3zbMath0494.65043MaRDI QIDQ1169264

Theodore A. Bickart

Publication date: 1982

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundednessorderintegration/interpolation methodsLagrange interpolatorsmultistep integratorsautonomous retarded differential- difference equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

Related Items (1)

Stability analysis of two-step Runge-Kutta methods for delay differential equations

Cites Work

• Insensitivity of a class of nonlinear compartmental systems to the introduction of arbitrary time delays
• Trigonometric Polynomials and Difference Methods of Maximum Accuracy
• Necessary and sufficient conditions for delay-independent stability of linear autonomous systems
• On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations
• Bifurcation of periodic solutions in a nonlinear difference-differential equations of neutral type
• Norms and the localization of roots of matrices
• Asymptotic behavior of solutions of differential-difference equations.
• A special stability problem for linear multistep methods
• Functional differential equations

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